document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593787>Question 593787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an algebra question. On my worksheet, it says \"Determine a relationship between the x- and y-values. Write an equation.\" I know how to do that, but for the second problem, the ordered pairs are (2,3), (3,5), (4,7), and (5,9). I put them in a table and it looks like the relationship is a sequence, because as you go up, you add 1 to 2 to make 3, and then you add 2 to 3 to make 5, and so on. How would you write this as an equation? (i.e. y=x+3)\r<BR>\n" );
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document.write( "This is what the problem looks like:\r<BR>\n" );
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document.write( "x 2  3  4  5<BR>\n" );
document.write( "y 3  5  7  9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376456 by </B><A HREF=/tutors/aboutme.mpl?userid=Sarpi><B>Sarpi(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Sarpi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Sarpi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X    Y<BR>\n" );
document.write( "2   3<BR>\n" );
document.write( "3   5<BR>\n" );
document.write( "4   7<BR>\n" );
document.write( "5   9\r<BR>\n" );
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document.write( "From the data, X moves in steps of 1 point and Y in steps of 2 points. Therefore, if X is increased by 1, Y is increased by 2. \r<BR>\n" );
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document.write( "=> The figures are in sequence, so we need to determine how to go from X to Y, that is 2 to 3, 3 to 5, 4 to 7, and 5 to 9.<BR>\n" );
document.write( "From this, it can be seen that the changes between X and Y are 1, 2, 3, and 4 respectively.\r<BR>\n" );
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document.write( "Interpretation; <BR>\n" );
document.write( "from X value of 2 to Y value of 3 = 2+1<BR>\n" );
document.write( "from X value of 3 to Y value of 5 = 3+2<BR>\n" );
document.write( "from X value of 4 to Y value of 7 = 4+3<BR>\n" );
document.write( "from X value of 5 to Y value of 9 = 5+4 ; where these adding numbers are the value of the previous X<BR>\n" );
document.write( "(2+prev. X value = 3, 3+prev X value = 5 and so on)\r<BR>\n" );
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document.write( "Mathematically, the relationship is Y = Current value of X + Previous value of X<BR>\n" );
document.write( "Y = X + (X - 1)<BR>\n" );
document.write( "Y = X + X -1<BR>\n" );
document.write( "Y = 2X - 1 \r<BR>\n" );
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document.write( "Verification:<BR>\n" );
document.write( "if X = 2 then Y = 2*2 - 1 = 3<BR>\n" );
document.write( "if X = 3 then Y = 2*3 - 1 = 5<BR>\n" );
document.write( "if X = 4 then Y = 2*4 - 1 = 7<BR>\n" );
document.write( "if X = 5 then Y = 2*5 - 1 = 9<BR>\n" );
document.write( " </SPAN>\n" );
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